67065460900 has 243 divisors, whose sum is σ = 162530332419. Its totient is φ = 24015841920.

The previous prime is 67065460867. The next prime is 67065460927. The reversal of 67065460900 is 906456076.

The square root of 67065460900 is 258970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 921851044 + 66143609856 = 30362^2 + 257184^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1426924677 + ... + 1426924723.

Almost surely, 2^67065460900 is an apocalyptic number.

67065460900 is the 258970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67065460900

67065460900 is an abundant number, since it is smaller than the sum of its proper divisors (95464871519).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67065460900 is a wasteful number, since it uses less digits than its factorization.

67065460900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 67065460900 in words is "sixty-seven billion, sixty-five million, four hundred sixty thousand, nine hundred".